Find the rate at which this hiker gains altitude, in feet per minute.130.To do a college visit, Wes must make a 240-miletrip by car. The time in hours required to completethe trip depends on the speed at which Wes drives,of course, as the table below shows. Fill in the miss-ing entries, and plot points on the grid provided. Arethe quantities time and speed proportional? It makessense to connect your plotted points with acontinu-ousgraph. Explain why.15 20 254860r12864.83speedtime131.Pat bought several pens at Walgreen’s, for 60 cents each. Spending the same amountof money at the Bookstore, Pat then bought some pens that cost 80 cents each. In all, 42pens were bought. How many pens did Pat buy at the bookstore?5101520time204060speed132.Exeter building code does not permit building a house that ismore than 35 feet tall. An architect working on the design shown atright would like the roof to be sloped so that it rises 10 inches foreach foot of horizontal run.(a)Given the other dimensions in the diagram, will the builder beallowed to carry out this plan?(b)Two vertical supports (shown dotted in the diagram) are to beplaced 6 feet from the center of the building. How long should theybe?.3022133.Working together, Jamie and Kit can build a wall in 4.5 hours. If Jamie can do the jobin 6 hours working alone, how long would it take Kit to build the wall when working alone?134.Suppose thatnrepresents an integer. What expression represents the next larger inte-ger? the previous integer? the sum of these three consecutive integers?135.A small pool is 20 feet long, 12 feet wide and 4 feet deep. There are 7.5 gallons of waterin every cubic foot.At the rate of 5 gallons per minute, how long will it take to fill thispool?136.Jan walks 2 miles at a constant speed of 3 miles per hour and then runs 1 mile at aconstant speed of 8 miles per hour.(a)What is Jan’saverage speedfor the entire trip?(b)Is the average speed in part (a) equal to the average of Jan’s two speeds?(c)Draw a graph of Jan’s trip similar to #124.August 201916Phillips Exeter Academy

Mathematics 1137.The rectangleABCDshown at right has sidesthat are parallel to the coordinate axes. SideADisthree times the length of sideABand the perimeterofABCDis 56 units.(a)Find the dimensions ofABCD.(b)Given the informationD= (9,2), find the coor-dinates for pointsA,B, andC.....ABCDxy138.A ladder is leaning against the side of a building. Each time I step from one rung to thenext, my foot moves 6 inches closer to the building and 8 inches further from the ground.The base of the ladder is 9 ft from the wall. How far up the wall does the ladder reach?139.Each step of the stairs leading from room 9 to room 107 in the Academy Building has averticalriseof 7 inches and a horizontalrunof 12 inches. Each step of the marble staircaseleading to the Assembly Hall has a vertical rise of 5.5 inches and a horizontal run of 13inches.